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Simplifying 7(x + 4) = -12(9 + -2x) Reorder the terms: 7(4 + x) = -12(9 + -2x) (4 * 7 + x * 7) = -12(9 + -2x) (28 + 7x) = -12(9 + -2x) 28 + 7x = (9 * -12 + -2x * -12) 28 + 7x = (-108 + 24x) Solving 28 + 7x = -108 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 28 + 7x + -24x = -108 + 24x + -24x Combine like terms: 7x + -24x = -17x 28 + -17x = -108 + 24x + -24x Combine like terms: 24x + -24x = 0 28 + -17x = -108 + 0 28 + -17x = -108 Add '-28' to each side of the equation. 28 + -28 + -17x = -108 + -28 Combine like terms: 28 + -28 = 0 0 + -17x = -108 + -28 -17x = -108 + -28 Combine like terms: -108 + -28 = -136 -17x = -136 Divide each side by '-17'. x = 8 Simplifying x = 8
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